Existence and multiplicity of solutions for fractional Schödinger equation involving a critical nonlinearity

DOI10.1186/S13662-019-2398-4zbMath1487.35427OpenAlexW2989197030MaRDI QIDQ2141963

Publication date: 25 May 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-2398-4

zbMATH Keywords

weak solution variational method fractional Laplacian principle of concentration compactness fractional Schödinger equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11)

Cites Work

Unnamed Item
Existence and symmetry of solutions for critical fractional Schrödinger equations with bounded potentials
Hitchhiker's guide to the fractional Sobolev spaces
Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities
Existence and multiplicity of positive solutions for fractional Schrödinger equations with critical growth
Infinitely many radial and non-radial solutions for a fractional Schrödinger equation
On a class of nonlinear Schrödinger equations
Fractional quantum mechanics and Lévy path integrals
On the variational principle
Minimax theorems
On the accurate discretization of a highly nonlinear boundary value problem
Infinitely many solutions for fractional Schrödinger equation with potential vanishing at infinity
Transmission dynamics of fractional order Typhoid fever model using Caputo-Fabrizio operator
Heat transfer analysis in sodium alginate based nanofluid using MoS2 nanoparticles: Atangana-Baleanu fractional model
A new fractional modelling and control strategy for the outbreak of dengue fever
Positivity-preserving sixth-order implicit finite difference weighted essentially non-oscillatory scheme for the nonlinear heat equation
A reliable technique for fractional modified Boussinesq and approximate long wave equations
A nonhomogeneous fractional \(p\)-Kirchhoff type problem involving critical exponent in \(\mathbb{R}^N\)
Analysis of differential equations involving Caputo-Fabrizio fractional operator and its applications to reaction-diffusion equations
Computable solution of fractional kinetic equations using Mathieu-type series
Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
Bound state for the fractional Schrödinger equation with unbounded potential
Variational Methods for Nonlocal Fractional Problems
Solution of fractional Distributed Order Reaction-Diffusion Systems with Sumudu Transform
Non-homogeneous fractional Schr\"odinger equation
A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator
A new and efficient numerical method for the fractional modeling and optimal control of diabetes and tuberculosis co-existence
Ground states for fractional Schrödinger equations with critical growth

This page was built for publication: Existence and multiplicity of solutions for fractional Schödinger equation involving a critical nonlinearity